a list of problems for finance

The system [of finance] is too complex to be run on error-strewn hunches and gut feelings, but current mathematical models don’t represent reality adequately. The entire system is poorly understood and dangerously unstable. The world economy desperately needs a radical overhaul and that requires more mathematics, not less.

This article in the Guardian is a little late to the party and has an intentionally misleading headline, but brings up some points that are usually too esoteric to survive in print:

Any mathematical model of reality relies on simplifications and assumptions. The Black-Scholes equation was based on arbitrage pricing theory, in which both drift and volatility are constant. This assumption is common in financial theory, but it is often false for real markets. The equation also assumes that there are no transaction costs, no limits on short-selling and that money can always be lent and borrowed at a known, fixed, risk-free interest rate. Again, reality is often very different.

There are more false assumptions like Gaussianity of log-returns, complete markets, martingale price paths, etc., but these are merely technical complaints, which can be patched (as many are doing). The real issue is, as the author notes, “… instability is common in economic models … mainly because of the poor design of the financial system.” Namely, there is a lack of accounting for behavioral effects that result in feedback, which give rise to rather more fundamental issues that would require the “radical overhaul” alluded to in the opening quotation to resolve. There are some problems that could be tackled in this area.
(Read the article)

China’s urbanization

There are large cities. There are really large cities. Then there are Asian cities — those are the ones with three circles on the map. The largest US cities by population are NY and LA, about 8M and 4M, respectively. The rest don’t even crack the world’s top-50 list. Seattle and Boston, for example, are 0.6M each, about the size of Chinese county-level townships with names I haven’t even heard of such as: Baoji, Anqing, Zhumadian. Here’s Zhumadian in Henan Province. Population 0.57M, 186th on the list of the largest Chinese cities.

http://www.hnta.cn/pics/UPPICS/4205394825.jpgThe problem is, China is still only about 40% urbanized (up from about 10% in 1949 and 20% in 1980), and there is a long way to go. Let’s keep in mind that just to get to 50% (a 10% increase) means adding the entire population of Japan to cities, and getting to 70% means adding the entire population of the US. This will take a few decades, and some will come from building new cities or new modes of living. There will be a significant rural population for generations.

On the plains of northern, eastern, and southern China, satellite maps show there is not an inch of land that is not under utilization. Surely population density isn’t as high in rural areas as in cities, relatively speaking, but this is what you get when land is a scarce resource — family plots are only so large, there is no hundred-acre homesteading here, just a unique way toward modern life.

http://image2.sina.com.cn/bj/upload/38/4000/20060302/244/48807/48809.jpg
(Rural China. Note: this is not a city, just houses that individual families built for themselves near the land they farm.)

What’s green with lots of numbers?

Uh, I don’t know … the Matrix?

No? Oh it’s money, I see. Except it’s money promised in spam, and spam from the military. How did I get on their list, I wonder. Maybe because of this guy?

To: [me]
From: “Army National Guard”
Subject: What’s green with lots of numbers?
Reply-To: “Army National Guard”
Errors-To: [email protected]
Date: Thu, 1 Feb 2007 06:51:50 CST

That’s right. The universal language of cold, hard cash. How does up to $56,000 sound?

If you’ve checked out the Guard’s “College First” Enlistment Option* and aren’t convinced the Guard can help you get through college – if up to $20,000 for enlisting isn’t enough, then it’s time to up the ante.

You can get up to a $20,000 enlistment bonus, up to $20,000 to repay student loans, more than $4,000 a year for continued schooling, and as much as $12,000 in pay your first year of part-time service. That’s more than $56,000.

But you have to act now.

Up to 100% Tuition Assistance
Leadership Training
Extreme Adventure

* “College First” Enlistment Option not available in all states

Sorry, fellas, but warm, soft direct-deposits from the NSF sounds a lot better, especially because I kind of like my unextreme unadventurous life. And life is the key.

Csiszar & Korner

Imre Csiszar and Janos Korner are two Hungarians with very Hungarian names. But more importantly, they wrote a thrilling page-turner called, Information Theory: Coding Theorems for Discrete Memoryless Systems. It is a book most difficult to obtain. It seems that the book has been out of print ever since the day it was in print. Academiai Kiado of Budapest and Academic Press of New York (same thing?), I’m looking in your general direction(s). Hmm. I wonder if the cost structure of running a printing press is akin to that of running a chip foundry?

http://ec1.images-amazon.com/images/P/9630574403.01._AA240_SCLZZZZZZZ_.gif

Anyway, forget the publishers. There is one copy in the library, permanently checked out, on hold, or requested. Almost never seen in online stores, it sells for several times the list price when scalper123 occasionally trots it out on YahooMazonBay. Worst of all, nobody has bothered to make and distribute a pdf of it for the good of the masses. Er, wait, I mean, nobody has bothered to make a Fair Use copy for personal use.

And accidentally leave the pdf on an unprotected public server. (Please?)

Well, that was last week, and this is now. I am to this day amazed that Kazoo Books still had one (1) old, used, but perfectly good copy at list price. I wrote “had.” Good service and fast delivery, too. No fraud committed against me despite there being a phone transaction with a credit card. Highly recommend. Wait, this isn’t eBay, why am I writing this?